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Finding the Fourth Proportional to 9,524.28, 14,294.52 and 3,685

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Solution

The fourth proportional to 9,524.28, 14,294.52 and 3,685 is: 5,530.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,524.28 : 14,294.52 = 3,685 : x
  2. Step 2: Convert to fraction form
    9,524.28/14,294.52 = 3,685/x
  3. Step 3: Cross multiply
    9,524.28x = 14,294.52 × 3,685
  4. Step 4: Simplify right side
    9,524.28x = 52,675,306.20
  5. Step 5: Solve for x
    x = 52,675,306.20/9,524.28
  6. Step 6: Final answer
    x = 5,530.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.